{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:TDYDMILWNYPSEXGMBW4X6MRLGB","short_pith_number":"pith:TDYDMILW","canonical_record":{"source":{"id":"2503.01784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-03-03T18:16:17Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"0a0f5869249c5c093e4a181fb12144f70de98ddd5a32258fe4d0d052c91c31f0","abstract_canon_sha256":"11a54b849170f807c3f692e5d264071ed04cbd6cff571cd70c5b210b2cc478a3"},"schema_version":"1.0"},"canonical_sha256":"98f03621766e1f225ccc0db97f322b304addb16587abcf513def1521922eca3d","source":{"kind":"arxiv","id":"2503.01784","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.01784","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"2503.01784v1","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.01784","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"TDYDMILWNYPS","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"pith_short_16","alias_value":"TDYDMILWNYPSEXGM","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"pith_short_8","alias_value":"TDYDMILW","created_at":"2026-07-05T10:23:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:TDYDMILWNYPSEXGMBW4X6MRLGB","target":"record","payload":{"canonical_record":{"source":{"id":"2503.01784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-03-03T18:16:17Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"0a0f5869249c5c093e4a181fb12144f70de98ddd5a32258fe4d0d052c91c31f0","abstract_canon_sha256":"11a54b849170f807c3f692e5d264071ed04cbd6cff571cd70c5b210b2cc478a3"},"schema_version":"1.0"},"canonical_sha256":"98f03621766e1f225ccc0db97f322b304addb16587abcf513def1521922eca3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:23:14.577616Z","signature_b64":"uDdfGkEUyIC1k0TmbiuRNlTtGbosXeQL1CLrCgYMkK7OPjZtGAm/ciRu1ZaBTSp323pupp6umttgc195lgnODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98f03621766e1f225ccc0db97f322b304addb16587abcf513def1521922eca3d","last_reissued_at":"2026-07-05T10:23:14.577036Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:23:14.577036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.01784","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tXF92LaE7D2Z1L8rjAetwLCa1TV8P/bGIJfZAH8q0tUvcw+aCZ2y7j8KcrVsJB6JzD7TLvv0+XpV54nqlIqhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:42:46.207856Z"},"content_sha256":"b5069ff78599a7a63231227236f746a5517cf1accb14a93bb9afdff7ef8b003b","schema_version":"1.0","event_id":"sha256:b5069ff78599a7a63231227236f746a5517cf1accb14a93bb9afdff7ef8b003b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:TDYDMILWNYPSEXGMBW4X6MRLGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the behavior of the Generalized Alignment Index (GALI) method for dissipative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.CD","authors_text":"Charalampos Skokos, Henok Tenaw Moges, Ovidiu Racoveanu, Thanos Manos","submitted_at":"2025-03-03T18:16:17Z","abstract_excerpt":"The behavior of the Generalized Alignment Index (GALI) method has been extensively studied and successfully applied for the detection of chaotic motion in conservative Hamiltonian systems, yet its application to non-Hamiltonian dissipative systems remains relatively unexplored. In this work, we fill this gap by investigating the GALI's ability to identify stable fixed points, stable limit cycles, chaotic (strange) and hyperchaotic attractors in dissipative systems generated by both continuous and discrete time dynamics, and compare its performance to the analysis achieved by the computation of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.01784","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.01784/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LjWTnC9H2qJp6Wf05qnYepzFvnblVcXfskij0SsIa0esP+853p2+g/mJhu7UBEniMcXkdFgi7Eu1MI7eCVPRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:42:46.208396Z"},"content_sha256":"7711e924d804edcaeeefdec103c5f54fe957dafa71552f40ae7b17554372bb7f","schema_version":"1.0","event_id":"sha256:7711e924d804edcaeeefdec103c5f54fe957dafa71552f40ae7b17554372bb7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TDYDMILWNYPSEXGMBW4X6MRLGB/bundle.json","state_url":"https://pith.science/pith/TDYDMILWNYPSEXGMBW4X6MRLGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TDYDMILWNYPSEXGMBW4X6MRLGB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T20:42:46Z","links":{"resolver":"https://pith.science/pith/TDYDMILWNYPSEXGMBW4X6MRLGB","bundle":"https://pith.science/pith/TDYDMILWNYPSEXGMBW4X6MRLGB/bundle.json","state":"https://pith.science/pith/TDYDMILWNYPSEXGMBW4X6MRLGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TDYDMILWNYPSEXGMBW4X6MRLGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TDYDMILWNYPSEXGMBW4X6MRLGB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"11a54b849170f807c3f692e5d264071ed04cbd6cff571cd70c5b210b2cc478a3","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-03-03T18:16:17Z","title_canon_sha256":"0a0f5869249c5c093e4a181fb12144f70de98ddd5a32258fe4d0d052c91c31f0"},"schema_version":"1.0","source":{"id":"2503.01784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.01784","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"2503.01784v1","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.01784","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"TDYDMILWNYPS","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"pith_short_16","alias_value":"TDYDMILWNYPSEXGM","created_at":"2026-07-05T10:23:14Z"},{"alias_kind":"pith_short_8","alias_value":"TDYDMILW","created_at":"2026-07-05T10:23:14Z"}],"graph_snapshots":[{"event_id":"sha256:7711e924d804edcaeeefdec103c5f54fe957dafa71552f40ae7b17554372bb7f","target":"graph","created_at":"2026-07-05T10:23:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.01784/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The behavior of the Generalized Alignment Index (GALI) method has been extensively studied and successfully applied for the detection of chaotic motion in conservative Hamiltonian systems, yet its application to non-Hamiltonian dissipative systems remains relatively unexplored. In this work, we fill this gap by investigating the GALI's ability to identify stable fixed points, stable limit cycles, chaotic (strange) and hyperchaotic attractors in dissipative systems generated by both continuous and discrete time dynamics, and compare its performance to the analysis achieved by the computation of","authors_text":"Charalampos Skokos, Henok Tenaw Moges, Ovidiu Racoveanu, Thanos Manos","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-03-03T18:16:17Z","title":"On the behavior of the Generalized Alignment Index (GALI) method for dissipative systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.01784","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b5069ff78599a7a63231227236f746a5517cf1accb14a93bb9afdff7ef8b003b","target":"record","created_at":"2026-07-05T10:23:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"11a54b849170f807c3f692e5d264071ed04cbd6cff571cd70c5b210b2cc478a3","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-03-03T18:16:17Z","title_canon_sha256":"0a0f5869249c5c093e4a181fb12144f70de98ddd5a32258fe4d0d052c91c31f0"},"schema_version":"1.0","source":{"id":"2503.01784","kind":"arxiv","version":1}},"canonical_sha256":"98f03621766e1f225ccc0db97f322b304addb16587abcf513def1521922eca3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98f03621766e1f225ccc0db97f322b304addb16587abcf513def1521922eca3d","first_computed_at":"2026-07-05T10:23:14.577036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:23:14.577036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uDdfGkEUyIC1k0TmbiuRNlTtGbosXeQL1CLrCgYMkK7OPjZtGAm/ciRu1ZaBTSp323pupp6umttgc195lgnODw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:23:14.577616Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.01784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5069ff78599a7a63231227236f746a5517cf1accb14a93bb9afdff7ef8b003b","sha256:7711e924d804edcaeeefdec103c5f54fe957dafa71552f40ae7b17554372bb7f"],"state_sha256":"8dc6fa14638274a73b64a3ea3a9ccc132618277deb6c71f845b67cc9c349165c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HTu47vZqzqK0VHsxYMLBI1qnuAPlw5suHneyDc7ZIdyEmjBQMaitL4qy+uoG7BxqE9c1acXFVMP+HnoiduNGCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T20:42:46.213279Z","bundle_sha256":"dd2ddf24cf7313c208de61dced26c33474593f740d9bb991927519993c90625a"}}